Breakdown of supersymmetry in homogeneous cosmologies in N=1 supergravity

Abstract

A condition of supersymmetric cosmological solutions of simple (N=1) supergravity is formulated in the classical case. As an application we prove that supersymmetry is spontaneously broken in Friedmann-Robertson-Walker type cosmologies as well as in the Kasner universe, except for the Minkowski space.

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